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Finding the Fourth Proportional to 4,192.15, 5,791.07 and 3,970.72

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Solution

The fourth proportional to 4,192.15, 5,791.07 and 3,970.72 is: 5,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.15 : 5,791.07 = 3,970.72 : x
  2. Step 2: Convert to fraction form
    4,192.15/5,791.07 = 3,970.72/x
  3. Step 3: Cross multiply
    4,192.15x = 5,791.07 × 3,970.72
  4. Step 4: Simplify right side
    4,192.15x = 22,994,717.47
  5. Step 5: Solve for x
    x = 22,994,717.47/4,192.15
  6. Step 6: Final answer
    x = 5,485.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.